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Finding the Third Proportional to 6,608.25 and 9,547.69

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Solution

The third proportional to 6,608.25 and 9,547.69 is: 13,794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608.25 : 9,547.69 = 9,547.69 : x
  2. Step 2: Convert to fraction form
    6,608.25/9,547.69 = 9,547.69/x
  3. Step 3: Cross multiply
    6,608.25x = 9,547.69 × 9,547.69
  4. Step 4: Simplify right side
    6,608.25x = 91,158,336.60
  5. Step 5: Solve for x
    x = 91,158,336.60/6,608.25
  6. Step 6: Final answer
    x = 13,794.63

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.